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Descriptive Statement: Number sense is defined as an intuitive feel for numbers and a common sense approach to using them. It is a comfort with what numbers represent, coming from investigating their characteristics and using them in diverse situations. It involves an understanding of how different types of numbers, such as fractions and decimals, are related to each other, and how they can best be used to describe a particular situation. Number sense is an attribute of all successful users of mathematics.
 

Topic/Unit Timeline	Cumulative Progress Indicators	Objectives	Suggested Activities	Materials	Evaluation
Numeration and Number Sense Timeline All year 1st Q	Building upon knowledge and skills gained in the preceding grades, by the end of Grade 8, students will: Understand money notations, count and compute money, and recognize the decimal nature of United States currency.	Explore real-life problems involving money Recognize the decimal nature of United States currency	These are found throughout the text. For example, see pages 41 #19, 60 #16, 104 #13, 135 #18, 148 #28, 155 #11, 162 #10, 174 #7, 204 #19, 441 #3, 443 #15. See Interdisciplinary Unit on "Money and Finance".	See teacher’s edition for a list of materials needed for each activity See teacher’s guide for a list of materials needed for this unit	Self assessment Group assessment
Timeline 1st Q 1st Q 3rd Q 3rd Q 3rd Q	Extend their understanding of the number system by constructing meanings for integers, rational numbers, percents, exponents, roots, absolute values, and numbers represented in scientific notation.	Construct meanings for square roots Construct meanings for integers and absolute values Construct meanings for rational numbers Evaluate expressions with positive, negative, and zero exponents Construct meanings for numbers written in scientific notation	See Lesson 2-11. See Lesson 3-1. See Lesson 7-2. See Lesson 7-8. See Lesson 7-9.	Square tiles, math journal Math journal Same as #2 Investigations software "The Pythagorean Theorem" Math journal	"On Your Own" examples, teaching resources provided by the publisher Same as #1 Same as #1 Same as #1 Same as #1
Timeline 4th Q All year	Develop number sense necessary for estimation.	Estimate with percents Estimate answers then check the reasonableness of the solution	See Lesson 10-2. These are found throughout the text. For example, see samples on pages 135, #26 -# 29, 157 #32 & #33, 431 #2 & #3, 435 #1 & #2, 493 #2 & #3.	Math journal See teacher’s edition for a list of materials needed for each activity	"On Your Own" examples, teaching resources provided by the publisher, group assessment Self assessment

 

Topic/Unit Timeline	Cumulative Progress Indicators	Objectives	Suggested Activities	Materials	Evaluation
Numeration and Number Sense Timeline 1st Q 3rd Q 3rd Q	Expand the sense of magnitudes of different number types to include integers, rational numbers, and roots.	Simplify expressions with exponents Express a rational number as a fraction in simplest form Explore irrational numbers	See Lesson 3-8. See Lesson 7-2. See Lesson 7-11.	Hot Page software, Math Tools software "Frames", Investigations software "The Pythagorean Theorem", math journal Math journal Same as #1	"On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet "On Your Own" examples, teaching resources provided by the publisher Same as #2
Timeline 3rd Q 3rd Q	Understand and apply ratios, proportions, and percents in a variety of situations.	Explore ratios, rates, and equal ratios Find the missing term of a proportion	See Lesson 8-1. See Lesson 8-3.	Investigations software "Hazard City Messengers" and "Crisis in Hydrotown", math journal Hot Page software, math journal	"On Your Own" examples, teaching resources provided by the publisher "On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet
Timeline 1st Q 3rd Q	Develop and use order relations for integers and rational numbers.	Compare and order integers Compare and order rational numbers	See Lesson 3-1. See Lesson 7-4.	Math journal Hot Page software, math journal	"On Your Own" examples, teaching resources provided by the publisher "On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet

 

Topic/Unit Timeline	Cumulative Progress Indicators	Objectives	Suggested Activities	Materials	Evaluation
Numeration and Number Sense     Timeline 2nd Q 3rd Q	Recognize and describe patterns in both finite and infinite number sequences involving whole numbers, rational numbers, and integers.	Demonstrate an understanding of a pattern by continuing the sequence Describe a pattern using words, symbols, tables, or diagrams	See Lesson 6-1. See Lesson 8-9.	Math journal Compass, straightedge, math journal	"On Your Own" examples, teaching resources provided by the publisher "On Your Own" examples, teaching resources provided by the publisher
Timeline 3rd Q 3rd Q 3rd Q	Develop and apply number theory concepts, such as primes, factors, and multiples, in real-world and mathematical problem situations.	Prime factor a composite number Determine the GCF using the prime factorization Determine the LCM using the prime factorization	See Lesson 7-1. See Lesson 7-2. See Lesson 7-4.	Math paper, math journal Math journal Hot Page software	"On Your Own" examples, teaching resources provided by the publisher Same as #1 "On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet

 
 

Topic/Unit Timeline	Cumulative Progress Indicators	Objectives	Suggested Activities	Materials	Evaluation
Numeration and Number Sense Timeline 1st Q 2nd Q	Identify, derive, and compare properties of numbers.	Apply the properties of numbers to simplify computation Apply the properties of equations and inequalities to find their solutions	See Lesson 3-6. See Lessons 4-2, 4-3, 4-4, 4-10, and 4-11.	Math Tools software "Frames", math journal Algebra tiles, Hot Page software, math journal	"On Your Own" examples, teaching resources provided by the publisher "On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet
Timeline 1st Q 2nd Q	Identify, derive, and compare properties of numbers.	Apply the properties of numbers to simplify computation Apply the properties of equations and inequalities to find their solutions	See Lesson 3-6. See Lessons 4-2, 4-3, 4-4, 4-10, and 4-11.	Math Tools software "Frames", math journal Algebra tiles, Hot Page software, math journal	"On Your Own" examples, teaching resources provided by the publisher "On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet

 

Resources Fun With Numbers  -accumulation of various number resources to aid in your enjoyment of integers and real numbers alike. BEATCALC  -Beat the Calculator! Universal Currency Converter Classic Currency Converter Primes and Composites  -Lesson on Prime and Composite Numbers Space Shuttle Statistics  -In this activity, students will be given the opportunity to enhance their computation skills using real life statistics associated with the Space Shuttle. Skills emphasized include working with fractions, decimals, percents, ratios and proportions, comparing units, and converting units. Students are also given the opportunity to create their own word problems to challenge their classmates. This activity might serve as a review activity to provide students with additional practice with various computations.